Search Results

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47238 4622 Pages:42-67

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  12055 1377 Pages:996-1017

• R-Adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-Adaptive Strategy

  Yameng Zhu, Jingrun Chen, Weibing Deng

  2025-04-06

  7155 771 Pages:31-65

• A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs

  Yong Yu, Gang Chen, Liangya Pi, Yangwen Zhang

  2020-10-09

  48607 3641 Pages:144-175

• FDMs for the PDEs of Option Pricing Under DEV Models with Counterparty Risk

  Jingtang Ma, Yong Chen, Taoshun He, Zhijun Tan

  2019-10-12

  44375 2633 Pages:1246-1265

• On the Recovery of Source Term for Fractional Evolution PDEs by MC-fPINNs

  Rui Sheng, Jerry Zhijian Yang, Cheng Yuan

  2025-05-16

  7646 577 Pages:487-520

• Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

  Xinliang Liu, Lei Zhang, Shengxin Zhu

  2021-09-10

  48030 2785 Pages:862-892

• An Adaptive Physics-Informed Neural Network with Two-Stage Learning Strategy to Solve Partial Differential Equations

  Shuyan Shi, Ding Liu, Ruirui Ji, Yuchao Han

  2023-04-10

  40304 3187 Pages:298-322

• Efficient Chebyshev Spectral Method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique

  Fei Liu, Xingde Ye, Xinghua Wang

  2011-04-01

  40308 3837 Pages:197-215

• Mesh Spacing Estimates and Efficiency Considerations for Moving Mesh Systems

  Joan Remski

  2016-09-01

  39681 2842 Pages:432-450

• An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

  E-N G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis, A. S. Fokas

  2018-12-17

  43253 2972 Pages:348-369

• High-Order Methods for Exotic Options and Greeks Under Regime-Switching Jump-Diffusion Models

  Jingtang Ma, Han Wang, Zhiqiang Zhou, Zhijun Tan

  2020-03-09

  44520 2803 Pages:497-515

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  61270 3274 Pages:559-588

• Numerical Continuation and Bifurcation for Differential Geometric PDEs

  Alexander Meiners, Hannes Uecker

  2024-08-30

  22723 1548 Pages:555-606

• MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs via Monte Carlo Sampling

  Xiaodong Feng, Yue Qian, Wanfang Shen

  2023-08-29

  28452 2483 Pages:769-791

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28531 2542 Pages:668-700

• Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients

  Eveline Rosseel, Nico Scheerlinck, Stefan Vandewalle

  2012-05-01

  40927 4598 Pages:62-84 Open-access

• High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

  Xia Ji, Huazhong Tang

  2012-05-01

  41801 3686 Pages:333-358

• pde2path - A Matlab Package for Continuation and Bifurcation in 2D Elliptic Systems

  Hannes Uecker, Daniel Wetzel, Jens D. M. Rademacher

  2014-07-01

  47748 5802 Pages:58-106

• A Splitting Scheme for the Numerical Solution of the KWC System

  R. H. W. Hoppe, J. J. Winkle

  2019-04-22

  54522 3037 Pages:661-680

• A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

  Bin Wang, Xinyuan Wu, Yonglei Fang

  2020-03-16

  44289 2736 Pages:814-844

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part I: Concepts and Fundamentals

  M. Esmaeilzadeh, R.M. Barron, R. Balachandar

  2020-12-02

  53487 3136 Pages:881-907

• An Acceleration Technique for the Augmented IIM for 3D Elliptic Interface Problems

  Changjuan Zhang, Zhilin Li, Xingye Yue

  2021-06-02

  47260 2834 Pages:773-796

• A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

  Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao, Bruno Carpentieri, Yu-Yun Huang

  2021-09-10

  49330 2795 Pages:893-919

• The Method of Fundamental Solutions for Optical Fluorescence Tomography

  Andreas Karageorghis, Daniel Lesnic

  2026-01-14

  449 176 Pages:219-239

• Weakly Admissible Meshes and Discrete Extremal Sets

  Len Bos, Stefano De Marchi, Alvise Sommariva, Marco Vianello

  2011-04-01

  40062 4260 Pages:1-12

• An Efficient Particle-Field Algorithm with Neural Interpolation Based on a Parabolic-Hyperbolic Chemotaxis System in 3D

  Jongwon David Kim, Jack Xin

  2026-04-16

  12 7